Rogue Wave Dynamics Of Coupled Nonlinear Schr?dinger Equation

At present,the integrable coupling nonlinear Schr?dinger equation were used for the systems of air,nonlinear optical fiber,space plasmas,Bose-Einstein condensation,the financial sector and so on wildly.In the field of physics,the coupled nonlinear Schr?dinger equation can be used to describe two or more wave packets propagation in isotropic media.In this paper,the relevant features and applications of soliton,and the research background,significance,ideas and the detailed steps of the rogue wave were introduced.At last,by means of the modified Darboux transformation,the exact solutions in two-coupled nonlinear Schr?dinger equations for the model were obtained.These exact solutions include some types of rogue wave solutions,and these results suggest that the two components admits the symmetry and asymmetry rogue wave solutions,which arises from the joint action of self-phase,cross-phase modulation,and coherent coupling term.In this paper,the analytical transformation from the initial seed solution to unique rogue waves with the bountiful pair structure were also obtained.In a special case,the asymmetry rogue wave can own the spatial and temporal symmetry gradually,which is controlled by one parameter.It is worth pointing out that the rogue wave of two components can share the temporal inversion symmetry.